Document Type: Research Paper

Authors

1 Department of Mathematics‎, ‎Annamalai University‎, ‎Annamalainagar-608002‎, ‎India

2 Department of Mathematics‎, ‎Government Arts college (Autonomous)‎, ‎Karur‎, ‎India

3 Mathematics Wing‎, ‎Directorate of Distance Education‎, ‎Annamalai University‎, Annamalainagar-608002‎, ‎India

Abstract

In this paper, ‎The powers of fuzzy neutrosophic soft square matrices (FNSSMs) under the operations $\oplus(=max)$ and $\otimes(=min)$ are studied‎. ‎We show that the powers of a given FNSM stabilize if and only if its orbits stabilize for each starting fuzzy neutrosophic soft vector (FNSV) and prove a necessary and sufficient condition for this property using the associated graphs of the FNSM‎. ‎Applications of the obtained results to several spacial classes of FNSMs (including circulants) are given‎.

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References

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